包装件在非高斯随机载荷下响应特征分析方法研究

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (2) : 100-107.

论文

朱大鹏1，王浩然1，曹兴潇2

作者信息 +

Package response characteristics analysis under non-Gaussian loads

ZHU Dapeng1，WANG Haoran1，CAO Xingxiao2

Author information +

文章历史 +

摘要

在运输过程中，包装件经常受到非高斯随机振动的作用，在进行包装系统优化时，经常需要重复确定包装件加速度响应的统计特征和振动可靠性，本文提出一种高效准确确定非高斯随机振动条件下非线性包装件加速度响应统计特征的分析方法。采用非高斯Karhunen-Loeve展开将非高斯随机振动表示为非高斯随机变量的线性组合，用一阶泰勒展开估计包装件加速度响应，确定加速度响应的统计矩参数，根据包装件加速度响应的前四阶矩参数，应用鞍点估计法确定包装件加速度响应的概率密度函数(probability density function ,PDF)和累积分布函数(cumulative distribution function ,CDF)。由于采用随机变量的线性组合模拟非高斯随机振动激励，避免了随机变量非线性变换，采用一阶泰勒展开估计包装件加速度响应具有良好的准确性，鞍点估计法分析包装件加速度响应的PDF和CDF，避免了大量蒙特卡洛或拟蒙特卡洛分析，提高了分析效率。

Abstract

In many cases, the package is excited by non-Gaussian random vibration loads, in circumstances where the packaging system optimization and package parameters optimization are performed, the package acceleration response statistical characteristics and vibration reliability needs to be determined repeatedly. Therefore, in this paper, an efficient and accurate analytical method is proposed to determine statistical characteristics of nonlinear package acceleration response. By use of non-Gaussian Karhunen-Loeve expansion, the stationary non-Gaussian random vibration is expressed as the linear combination of uncorrelated non-Gaussian random variables, the package acceleration response is approximated by first order Taylor expansion, the statistical characteristics of package acceleration response are determined analytically. The probability density function(PDF) and cumulative distribution function(CDF) of package acceleration response are determined using the saddlepoint approximation method, based on the first four statistical moments of package acceleration response. Since the linear combination of non-Gaussian variables is used to express the excitation, the nonlinear transformation of random variables is avoided, the first order Taylor expansion approximation for the response has good accuracy. The PDF and CDF of package response are determined analytically by use of saddlepoint approximation, the Monte Carlo(or Quasi Monte Carlo) simulations are avoided, the analysis efficiency is improved greatly.

导出引用

朱大鹏1，王浩然1，曹兴潇2. 包装件在非高斯随机载荷下响应特征分析方法研究[J]. 振动与冲击, 2023, 42(2): 100-107

ZHU Dapeng1，WANG Haoran1，CAO Xingxiao2. Package response characteristics analysis under non-Gaussian loads[J]. Journal of Vibration and Shock, 2023, 42(2): 100-107

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